$1.$ Point $1$ N $=10123\mathrm{.}56$ E $=10156\mathrm{.}92$ Point $2$ N $=9905\mathrm{.}56$ E $=9923\mathrm{.}57$

Compute the coordinates of a point located $309\mathrm{.}92$ ft$.$ from point $1$ at a clockwise horizontal

angle of $312$ d $4623$ from a line from $1$ to $2.$

$2.$ Instrument at point $1$ zenith circle $266$d$1819($reverse$)$ slope distance $247\mathrm{.}12$ ft$,$ height of

instrument $($HI$)=5\mathrm{.}16,$ height of target $($HT$)=5\mathrm{.}00$ ft$.$ What is the elevation difference from

ground point at $1$ to ground point at $2($get the sign of the elevation difference correct$).$

$3.$ Using the coordinates in $1.,$ compute coordinates of a point $500$ ft$.$ from both $1$ and $2$ and

northwest of the line from $1$ to $2.$

$4.$ Using the coordinates in $1.,$ compute coordinates of a line parallel to $1$ to $2$ at a $10$ ft$.$ parallel

offset southeast of $1$ to $2.$ The two computed points should be exactly $10$ ft$.$ from points $1$ and $2$

respectively.

$5.$ Benchmark A $($BM A$)$ elevation $100\mathrm{.}00$ is sighted with a differential level from point C with a rod

reading of $6\mathrm{.}15$ ft$.$ From point C a rod reading of $4\mathrm{.}52$ ft$.$ is obtained by point D$.$ If a building

foundation at point D is supposed to be at $102\mathrm{.}10$ ft$.$ is the foundation above or below the

ground elevation at point D and by how much?

$6.$ Given the coordinates in $1.,$ and coordinates of point $3$ of N $=10215\mathrm{.}12$ E $=10097\mathrm{.}15$ if point $3$

was occupied and point $2$ was backsighted what would be the layout clockwise angle and

distance to locate point $1?$

$7.$ Given the coordinates in $1.,$ and elevations of $1$ of $104\mathrm{.}15$ and $2$ of $101\mathrm{.}15$ ft$.$ and assuming a

constant grade from $1$ to $2$ what would be the distance from $1$ to $3$ if $3$ is at an elevation of

$102\mathrm{.}00$ ft$.?$

$8.$ Explain why the solution in $7.$ is a computation digital terrain modeling $($DTM$)$ software

computes in generation of contours. Be detailed.

$9.$ From point $1$ a BM of elevation $289\mathrm{.}12$ is sighted with a zenith circle of $88$d$4545,$ slope

distance of $175\mathrm{.}15$ and an HT of $5\mathrm{.}45.$ What is the elevation of a horizontal line of sight of the

Distances and coordinates should be provided to $\mathrm{.}01$

ft$./$m$.$ and all angular values to the nearest second. Decimal degrees is not acceptable as an answer.